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Finding the Fourth Proportional to 1,695.36, 2,543.04 and 1,285.23

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Solution

The fourth proportional to 1,695.36, 2,543.04 and 1,285.23 is: 1,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.36 : 2,543.04 = 1,285.23 : x
  2. Step 2: Convert to fraction form
    1,695.36/2,543.04 = 1,285.23/x
  3. Step 3: Cross multiply
    1,695.36x = 2,543.04 × 1,285.23
  4. Step 4: Simplify right side
    1,695.36x = 3,268,391.30
  5. Step 5: Solve for x
    x = 3,268,391.30/1,695.36
  6. Step 6: Final answer
    x = 1,927.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.